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Finding the Third Proportional to 240,471 and 513,121.50

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Solution

The third proportional to 240,471 and 513,121.50 is: 1,094,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,471 : 513,121.50 = 513,121.50 : x
  2. Step 2: Convert to fraction form
    240,471/513,121.50 = 513,121.50/x
  3. Step 3: Cross multiply
    240,471x = 513,121.50 × 513,121.50
  4. Step 4: Simplify right side
    240,471x = 263,293,673,762.25
  5. Step 5: Solve for x
    x = 263,293,673,762.25/240,471
  6. Step 6: Final answer
    x = 1,094,908.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.